Question

one angle of a triangle is 60 degree. the other angles are in the ratio of 5:7 find the two angles
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Answer 1

Answer:

5x =25 first angle

7x=35 second angle

Step-by-step explanation:

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Answer 2

Given :

• One angle of a triangle = 60°
• Ratio of other two angles = 5 : 7

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To find :

• The value of the two angles.

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Assumption :

Let the other two angles of the triangle be 5x and 7x.

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Solution :

According to the angel sum property of a triangle,

⋆$\sf\:Sum~of~all~the~angles~in~a~triangle~=~180°$

$\sf\:\implies\:5x+7x+60=180$

$\sf\:\implies\:12x+60=180$

$\sf\:\implies\:12x=180-60$

$\sf\:\implies\:12x=120$

$\sf\:\implies\:x=\cancel{\frac{120}{12}}$

$\sf\:\implies$$\small\red{\tt\pmb{x\:=10}}$

So the value of two angles are :

⠀⠀⠀⠀⠀⠀⠀➻⠀5x = 5 × 10 = 50°

⠀⠀⠀⠀⠀⠀ ➻ 7x = 7 × 10 = 70°

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Verification :

$\sf\leadsto\:50°+70°+60°=180°$

$\sf\leadsto\:120°+60°=180$

$\sf\leadsto\:180°=180°$

Hence Verified!~

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$\bf\:Therefore,$

$\bf\:⠀⠀⠀⠀Three~angles~are~50°,~70°~and~60°.$

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